Answer: x = 11, y = 9
Step-by-step explanation:
To solve for x, set the sides equal to each other:
7x + 27 = 10x - 6
Add 6 to both sides:
7x + 33 = 10x
Subtract 7x from both sides:
33 = 3x
Divide both sides by 3:
11 = x
(Which is the same as x = 11)
Now, to solve for y, since they don’t give you the other side, you know that the straight line is 180° so:
7x + 27 + 9y - 5 = 180
Plug in your x:
7(11) + 27 + 9y - 5 = 180
77 + 27 + 9y - 5 = 180
Add like terms:
99 + 9y = 180
Subtract 99 from both sides:
9y = 81
Divide both sides by 9:
y = 9
Hope this helps!
